Logging on with a different computer

We cannot answer that question. We don't have clue what the computer's operating system is, what browser was used, it connected to the internet and to WordPress.com.

(1) How are you connecting to the internet and to WordPress.com?

I'm asking because the way you connect to the internet (mobile, satellite, DSL, dial-up) and to your blog, and how many proxy server jumps etc. it takes to connect can cause problems. There maybe be problems with your ISP and/or with the proxy servers. Also note that the main dashboard isn’t designed to work with touch devices through the tablet and smartphone browsers.

(2) Exactly which browser and version of it are you using. If you don’t know click here to find out > http://whatsmyuseragent.com/
Note: If you are running IE9 in compatibility mode then be aware that it renders as IE7 and IE7 is not supported.

Hey timethief-
Your 4th point is probably where the problem was (?) but I'm not at my son's and can't try it out. Other than that, my son has answered my questions.
Thank you for your help. :)
Yours always - lb